The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Σελίδα 3
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to another . XVI .
A circle is a plane figure contained by one line , which is called the circumference , and is such that all straight lines drawn from a certain point within the figure to the circumference are equal to another . XVI .
Σελίδα 64
I. Equal circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for , if the ...
I. Equal circles are those of which the diameters are equal , or from the centres of which the straight lines to the circumferences are equal . “ This is not a definition but a theorem , the truth of which is evident ; for , if the ...
Σελίδα 65
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII .
A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . “ The angle of a segment is that which is contained by the straight line and the circumference . ” VIII .
Σελίδα 66
If any two , points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and 4 , B 66 EUCLID'S ELEMENTS .
If any two , points be taken in the circumference of a circle , the straight line which joins them shall fall within the circle . Let ABC be a circle , and 4 , B 66 EUCLID'S ELEMENTS .
Σελίδα 67
Let ABC be a circle , and 4 , B , any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . C А E B For if AB do not fall within the circle , let it fall , if possible , without , as AEB ...
Let ABC be a circle , and 4 , B , any two points in the circumference ; the straight line drawn from A to B shall fall within the circle . C А E B For if AB do not fall within the circle , let it fall , if possible , without , as AEB ...
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AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Συγγραφείς | EUCLID., Samuel A. GOOD |
| Έκδοση | 2 |
| Εκδότης | Charles Henry Law, 1854 |
| Πρωτότυπο από | Η Βρετανική βιβλιοθήκη |
| Ψηφιοποιήθηκε στις | 10 Δεκ. 2013 |
| Μέγεθος | 120 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |